Bases 33-100 reservations/statuses/primes

[gd_barnes]

S97 is complete to n=25K; 22 primes found for n=10K-25K; 108 k's remaining; base released.

[Siemelink]

My riesel base 36 effort has reached n = 50,000. Here are the residues and the two primes that I had mentioned already:
75329*36^26512-1 is 3-PRP! (56.6459s+0.0040s)
61493*36^29346-1 is 3-PRP! (81.7398s+0.0041s)

Regards, Willem.

[Siemelink]

Originally Posted by Batalov

In all cases, one thing is common: k*b is a square.
Ah, where were my eyes. :-) The whole thing is so easily re-written now:
Let k*b be a square, then for odd n's we trivially observe the difference of squares.

For Riesel base 40 I filtered the k's with b*k = square:
k = 110250, k*b = 2100^2, even n have factor 41 => k can be eliminated.
k = 1232010, k*b = 7020^2, even n have factor 41 => k can be eliminated.
k = 1497690, k*b = 7740^2, even n have factor 41 => k can be eliminated.
k = 2162250, k*b = 9300^2, even n have differents factors => nothing.

Did I get it right? Willem.

[Siemelink]

Originally Posted by gd_barnes

Serge, you've already uncovered at least 3 bases with this situation. If you have time and haven't done it already and would like to go through all of the Riesel bases looking for just that situation, that would help us greatly. Thanks! :-)

Gary

I've just done this for the bases under 100. Only hits for base 40, which has a huge number of k.

Willem.

[gd_barnes]

S58 is complete to n=25K; 55 primes found for n=10K-25K; 143 k's remaining; base released.

[Dougal]

im doing some work on R79,im hoping to test it up to n=10000,at least

[gd_barnes]

Originally Posted by Dougal

im doing some work on R79,im hoping to test it up to n=10000,at least

Can you be more specific? Are you doing all k's? "Hoping" always makes me wonder a little. :-) I think I recall that R1017 was more work than you ended up wanting to do. I mention that because R79 with a conjecture of k>1.9M is far more work than that, even though it's a much smaller base.

If you have the resources, I'd recommend running at least 3-4 cores on it unless you want it to run for several months. As an example of something somewhat close, I'm currently running S78 with a conjecture of k=~186K to n=25K. I'm running 2 cores on it and it will end up taking ~3-4 weeks and having likely 200-205 k's remaining. It took 1 core 5-7 days to complete to n=10K. 2 things make it a far easier base than yours: (1) The conjecture is 1/10th as big. (2) Base 78 is a fairly "prime" base. I do not think that base 79 will be.

If you can provide a status on it every ~2 weeks, that would help. I'd be curious to know the # of k's remaining after you finish running the new bases script to n=1000 or n=2500; whichever you decide to do.


Gary

[Dougal]

Originally Posted by gd_barnes

Can you be more specific? Are you doing all k's? "Hoping" always makes me wonder a little. :-) I think I recall that R1017 was more work than you ended up wanting to do. I mention that because R79 with a conjecture of k>1.9M is far more work than that, even though it's a much smaller base.

If you have the resources, I'd recommend running at least 3-4 cores on it unless you want it to run for several months. As an example of something somewhat close, I'm currently running S78 with a conjecture of k=~186K to n=25K. I'm running 2 cores on it and it will end up taking ~3-4 weeks and having likely 200-205 k's remaining. It took 1 core 5-7 days to complete to n=10K. 2 things make it a far easier base than yours: (1) The conjecture is 1/10th as big. (2) Base 78 is a fairly "prime" base. I do not think that base 79 will be.

If you can provide a status on it every ~2 weeks, that would help. I'd be curious to know the # of k's remaining after you finish running the new bases script to n=1000 or n=2500; whichever you decide to do.


Gary

ive ran the script up to n=1028 and k=1000000 there are 12156 k's remaining,i also have k=1-100000 sieved to 10000 and currently testing.tested to 2500 and a further 170 k's eliminated from 1030 in that range.just checked it again and it's actually at n=4000 and 220 k's have been eliminated.

[gd_barnes]

Originally Posted by Dougal

ive ran the script up to n=1028 and k=1000000 there are 12156 k's remaining,i also have k=1-100000 sieved to 10000 and currently testing.tested to 2500 and a further 170 k's eliminated from 1030 in that range.just checked it again and it's actually at n=4000 and 220 k's have been eliminated.

Thanks for the udpate. So you can expect to have a total of ~25,000 k's remaining at n=~1K for the entire base that will need to be sieved.

You might make a note as to how long sieving/testing the k's<100K for n=1K-10K takes. Then multiply that by 20 to get a good idea of how long the entire base will take.

As a rule, there will be somewhat more k's remaining at the higher k-ranges for the same search depth since they start from a higher point. So if there are 1030 k's remaining for k<100K at n=1028, you might expect ~1100 k's remaining for k=1.8M-1.9M. The main difference is the # of n=1 thru n=3 primes. After that, there is little difference.


Gary

[vmod]

Reserving:
Riesel 42 all k's up to n=100K, continuing from the available file (after sieving a bit deeper)
Sierp 100 all k's up to n=100K

[MyDogBuster]

vmod - Nice to see some new blood. Welcome

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